1-300 If x is normally distributed with a mean of 5 and standard deviation of 2 , find P(x)>(8).

asked Jan 5, 2024 140k views

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Answer:

Hi,

Explanation:

$X \sim \mathcal{N}(5,\,2)\\\\Z=(X-5)/(2) \ if\ X=8\ then\ Z=(8-5)/(2) =1.5\\\\P(X > 8)=P(Z > 1.5)=1-P(Z < 1.5)=1-0.9332=0.0668 =6.68\%$

Cliwo answered Jan 9, 2024

by Cliwo

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